For any fixed expansion order p, the relation between time and error can be approximated by a constant plus a power law that becomes flatter for larger p. At any given error, there is an optimal expansion order p in the sense of providing the fastest approximation.
In summary, we iteratively determine the expansion coefficients of the state function X (t ) for fixed parameters in the ODE by (10 ) and estimate the coefficient functions in the ODE for fixed expansion coefficients by (16 ).
Using a fixed point theorem of cone expansion and compression of norm type, we obtain the existence and multiplicity of positive solutions of the above problems.
By using a fixed point theorem of cone expansion and compression of norm type, the existence and multiplicity of positive solutions for the above problems are obtained.
In [19], by using a fixed point theorem of cone expansion and a fixed point theorem of generalized concave operators, the authors considered the existence, nonexistence, and uniqueness of convex monotone positive solutions of an elastic beam equation with a parameter.
Using a fixed point theorem of cone expansion and compression of norm type and a new method to deal with the impulsive term, we prove that the second-order singular impulsive Neumann boundary value problem has denumerably many positive solutions.
We research maximum range expansion using a fixed number of mobile wireless nodes along a line which do distributed MIMO (Multiple Input Multiple Output) in diversity configuration, also known as cooperative transmission (CT).
where, and for some positive constants They established the existence results for at least one positive solution by using a fixed point theorem of cone expansion and compression of functional type.
By using a fixed point theorem of cone expansion and compression of norm type, the existence and nonexistence of concave and monotone positive solutions for the above boundary value problems is obtained.
By means of a fixed point theorem of cone expansion and compression of norm type (see [25]), in Sect. 2 we show the existence and multiplicity of positive solutions of (1.1) and (1.2).
